document.write( "Question 223968: My son's homework question is:\r
\n" ); document.write( "\n" ); document.write( "Find the value(s) of a for which the equation is an identity.\r
\n" ); document.write( "\n" ); document.write( "a(2x+3) = 9x + 12 - x\r
\n" ); document.write( "\n" ); document.write( "What exactly are they asking him to do here? I don't understand what they are looking for. Should he solve for a, or for x in terms of a?\r
\n" ); document.write( "\n" ); document.write( "thanks,
\n" ); document.write( "Andrea
\n" ); document.write( "

Algebra.Com's Answer #167358 by scott8148(6628)\"\" \"About 
You can put this solution on YOUR website!
an identity means that the two sides of the equation are not ony equal, but also identical\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "3x = 12 is an equation ___ there is a unique value of x (solution)\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "3x = 3x is an identity ___ all values of x will work (no solution)\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "solving for \"a\" will generate the identity\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "collecting terms ___ a(2x+3) = 8x + 12\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "factoring ___ a(2x+3) = 4(2x + 3)\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "dividing by 2x+3 ___ a = 4
\n" ); document.write( "
\n" );